16438800 has 240 divisors, whose sum is σ = 63964160. Its totient is φ = 3525120.

The previous prime is 16438789. The next prime is 16438817. The reversal of 16438800 is 883461.

It is a happy number.

16438800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159549 + ... + 159651.

Almost surely, 2^16438800 is an apocalyptic number.

16438800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31982080).

16438800 is an abundant number, since it is smaller than the sum of its proper divisors (47525360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16438800 is a wasteful number, since it uses less digits than its factorization.

16438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 16438800 is about 4054.4790047551. The cubic root of 16438800 is about 254.2670223905.

The spelling of 16438800 in words is "sixteen million, four hundred thirty-eight thousand, eight hundred".